This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A319637 #8 Jul 13 2022 14:59:54
%S A319637 1,1,3,29,1885,18658259
%N A319637 Number of non-isomorphic T_0-covers of n vertices by distinct sets.
%C A319637 The dual of a multiset partition has, for each vertex, one block consisting of the indices (or positions) of the blocks containing that vertex, counted with multiplicity. For example, the dual of {{1,2},{2,2}} is {{1},{1,2,2}}. The T_0 condition means the dual is strict (no repeated elements).
%e A319637 Non-isomorphic representatives of the a(3) = 29 covers:
%e A319637 {{1,3},{2,3}}
%e A319637 {{1},{2},{3}}
%e A319637 {{1},{3},{2,3}}
%e A319637 {{2},{3},{1,2,3}}
%e A319637 {{2},{1,3},{2,3}}
%e A319637 {{3},{1,3},{2,3}}
%e A319637 {{3},{2,3},{1,2,3}}
%e A319637 {{1,2},{1,3},{2,3}}
%e A319637 {{1},{2},{3},{2,3}}
%e A319637 {{1,3},{2,3},{1,2,3}}
%e A319637 {{1},{2},{3},{1,2,3}}
%e A319637 {{1},{2},{1,3},{2,3}}
%e A319637 {{2},{3},{1,3},{2,3}}
%e A319637 {{1},{3},{2,3},{1,2,3}}
%e A319637 {{2},{3},{2,3},{1,2,3}}
%e A319637 {{3},{1,2},{1,3},{2,3}}
%e A319637 {{2},{1,3},{2,3},{1,2,3}}
%e A319637 {{3},{1,3},{2,3},{1,2,3}}
%e A319637 {{1},{2},{3},{1,3},{2,3}}
%e A319637 {{1,2},{1,3},{2,3},{1,2,3}}
%e A319637 {{1},{2},{3},{2,3},{1,2,3}}
%e A319637 {{2},{3},{1,2},{1,3},{2,3}}
%e A319637 {{1},{2},{1,3},{2,3},{1,2,3}}
%e A319637 {{2},{3},{1,3},{2,3},{1,2,3}}
%e A319637 {{3},{1,2},{1,3},{2,3},{1,2,3}}
%e A319637 {{1},{2},{3},{1,2},{1,3},{2,3}}
%e A319637 {{1},{2},{3},{1,3},{2,3},{1,2,3}}
%e A319637 {{2},{3},{1,2},{1,3},{2,3},{1,2,3}}
%e A319637 {{1},{2},{3},{1,2},{1,3},{2,3},{1,2,3}}
%Y A319637 Cf. A006126, A007716, A049311, A059201, A283877, A316980, A316983, A318099, A319558, A319559, A319616-A319646, A300913.
%K A319637 nonn,more
%O A319637 0,3
%A A319637 _Gus Wiseman_, Sep 25 2018
%E A319637 a(5) from _Max Alekseyev_, Jul 13 2022